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Finding the Fourth Proportional to 81,846.56, 122,612.16 and 68,540.96

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Solution

The fourth proportional to 81,846.56, 122,612.16 and 68,540.96 is: 102,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,846.56 : 122,612.16 = 68,540.96 : x
  2. Step 2: Convert to fraction form
    81,846.56/122,612.16 = 68,540.96/x
  3. Step 3: Cross multiply
    81,846.56x = 122,612.16 × 68,540.96
  4. Step 4: Simplify right side
    81,846.56x = 8,403,955,154.07
  5. Step 5: Solve for x
    x = 8,403,955,154.07/81,846.56
  6. Step 6: Final answer
    x = 102,679.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.